If it is true that -6 =< n =<10, which of the following must be true?
A) n < 8
B) n = -6
C) n > -8
D) -10 < n < 7
E) None of the above
OA IS E why is C incorrect?
A)
The list of possible values of N are -6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10. so obviously all these values are greater than -8 right?
should we consider -7 ? but -7 is not a part of the list. so obviously C is correct. let m e know
B) in the wordings that i have written :
The list of possible values of N are= is this sentence correct?
or
should the sentence be "The list of possible values of N is"..... "list" is singular and "values" is plural.
A verbal cum Quant question ...njoy
-6 =< n =<10
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Hi pappueshwar!pappueshwar wrote:If it is true that -6 =< n =<10, which of the following must be true?
A) n < 8
B) n = -6
C) n > -8
D) -10 < n < 7
E) None of the above
OA IS E why is C incorrect?
I'll take both of your questions in turn, but can you also provide the ORIGINAL source. Remember that we only want to study from material that is known to be high quality!
Your understanding of this problem is perfect as it is written so again I would be VERY suspect of the source.pappueshwar wrote:A)
The list of possible values of N are -6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10. so obviously all these values are greater than -8 right?
should we consider -7 ? but -7 is not a part of the list. so obviously C is correct. let m e know
Choice (A) is not good because n could be 9, 10, or any non-integer between 8 and 10.
Choice (B) is not good because we have no clue that n is that 1 specific value in the list
Choice (D) is not good because n could be 8, 9, 10, or any non-integer between 7 and 10.
Now Choice (C). You are exactly right that n will always be greater than -8 because the entire range is greater han -8.
In fact, the rule for generalizing ranges is that we can always claim a wider range than we are given. For example, if we know that x is between 2 and 3, then I can claim it is between 1-->3, or 1-->4, or -100-->100.
We CANNOT go smaller: if we know that x is between 5 and 10, we cannot claim it is between 6-->9 or 5-->6, or specify a single number.
So, as the problem is written, (C) is the correct answer - I would check the wording to make sure you didn't type it incorrectly, and if not, I would NOT study from this source unless they have published an errata update for this question.
Your second choice (singular) is the correct one. "of possible values of N" is just the prepositional phrase describing "list". Therefore the subject is just "list".pappueshwar wrote:B) in the wordings that i have written :
The list of possible values of N are= is this sentence correct?
or
should the sentence be "The list of possible values of N is"..... "list" is singular and "values" is plural.
The list...IS n=___, ___, ___, ___, and ___.
Hope this helps!
Whit
Whitney Garner
GMAT Instructor & Instructor Developer
Manhattan Prep
Contributor to Beat The GMAT!
Math is a lot like love - a simple idea that can easily get complicated
GMAT Instructor & Instructor Developer
Manhattan Prep
Contributor to Beat The GMAT!
Math is a lot like love - a simple idea that can easily get complicated
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thanks for the patient reply.
this question i found in the other forum . there was no consensus out there for this question and hence i posted out here. even i felt C is the correct answer.
this question i found in the other forum . there was no consensus out there for this question and hence i posted out here. even i felt C is the correct answer.